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mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal > Class Template Reference

Truncation of general matrices with impact on matrix triple multiply as error measure. More...

#include <truncation.h>

Inheritance diagram for mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >:
mat::EuclTruncationGeneral< Tmatrix, Treal > mat::EuclTruncationBase< Tmatrix, Treal >

Public Member Functions

 EuclTruncationCongrTransMeasure (Tmatrix &A_, TmatrixB const &B_)
 
- Public Member Functions inherited from mat::EuclTruncationGeneral< Tmatrix, Treal >
 EuclTruncationGeneral (Tmatrix &A_)
 
- Public Member Functions inherited from mat::EuclTruncationBase< Tmatrix, Treal >
 EuclTruncationBase (Tmatrix &A_)
 
Treal run (Treal const threshold)
 
virtual ~EuclTruncationBase ()
 

Protected Member Functions

virtual void getFrobTruncBounds (Treal &lowTrunc, Treal &highTrunc, Treal const threshold)
 
virtual Interval< Treal > euclIfSmall (Treal const absTol, Treal const threshold)
 
- Protected Member Functions inherited from mat::EuclTruncationGeneral< Tmatrix, Treal >
virtual void getFrobSqNorms (std::vector< Treal > &frobsq_norms)
 
virtual void frobThreshLowLevel (Treal const threshold)
 

Protected Attributes

TmatrixB const & B
 
- Protected Attributes inherited from mat::EuclTruncationBase< Tmatrix, Treal >
Tmatrix & A
 
Tmatrix E
 

Detailed Description

template<typename Tmatrix, typename TmatrixB, typename Treal>
class mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >

Truncation of general matrices with impact on matrix triple multiply as error measure.

Truncation of a matrix A giving a truncated matrix At = A + E such that the norm of the congruently transformed error matrix ||E^T * B * E + E^T * B * A + A^T * B * E||_2 < threshold

Constructor & Destructor Documentation

◆ EuclTruncationCongrTransMeasure()

template<typename Tmatrix , typename TmatrixB , typename Treal >
mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::EuclTruncationCongrTransMeasure ( Tmatrix &  A_,
TmatrixB const &  B_ 
)
inline

Member Function Documentation

◆ euclIfSmall()

template<typename Tmatrix , typename TmatrixB , typename Treal >
Interval< Treal > mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::euclIfSmall ( Treal const  absTol,
Treal const  threshold 
)
protectedvirtual

◆ getFrobTruncBounds()

template<typename Tmatrix , typename TmatrixB , typename Treal >
void mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::getFrobTruncBounds ( Treal &  lowTrunc,
Treal &  highTrunc,
Treal const  threshold 
)
protectedvirtual

Member Data Documentation

◆ B

template<typename Tmatrix , typename TmatrixB , typename Treal >
TmatrixB const& mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::B
protected

The documentation for this class was generated from the following file: